Flutter-Like Oscillations of a Planing Plate

Abstract

By means of a linear analysis, it is shown that the steady motion of a planing plate in two dimensions is always unstable in heave; the vertical motion of the water ahead of the plate causes the plate to have an effective chord length which oscillates along with any heave oscillation, and the damping coefficient of such an oscillation is negative if the reduced frequency is less than a computed critical value. This result suggests that 2-D planing is always unstable. However, when the planing plate supports a given load and has a given angle of attack, the flow will be more like that of a supercavitating hydrofoil at low speeds, and only at high speed will the characteristic planing flow be established.

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Document Details

Document Type
Technical Report
Publication Date
Jul 01, 1973
Accession Number
AD0769005

Entities

People

  • T. Francis Ogilvie
  • Young-tsun Shen

Organizations

  • University of Michigan

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Aerodynamics
  • Aspect Ratio
  • Coordinate Systems
  • Engineering
  • Equations
  • Frequency
  • Hydrodynamics
  • Hydrofoils
  • Leading Edges
  • Marine Engineering
  • Naval Architecture
  • Planing Surfaces
  • Square Roots
  • Stagnation Point
  • Trailing Edges
  • Two Dimensional
  • Waves

Fields of Study

  • Physics

Readers

  • Fluid Mechanics and Fluid Dynamics.
  • Marine Hydrodynamics